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Finding the Fourth Proportional to 430.27, 644.95 and 210.57

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Solution

The fourth proportional to 430.27, 644.95 and 210.57 is: 315.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.27 : 644.95 = 210.57 : x
  2. Step 2: Convert to fraction form
    430.27/644.95 = 210.57/x
  3. Step 3: Cross multiply
    430.27x = 644.95 × 210.57
  4. Step 4: Simplify right side
    430.27x = 135,807.12
  5. Step 5: Solve for x
    x = 135,807.12/430.27
  6. Step 6: Final answer
    x = 315.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.